Q: What are the prime factors of the number 543,755,643?

 A: 3, 47, 103, 37441

Why are those the prime factors of the number 543,755,643?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 543,755,643

543,755,643
Factor Arrows
3181,251,881
Factor Arrows
473,856,423
Factor Arrows
10337,441

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 47, 103, 37441

We can check our work by multiplying all of the prime factors together: 3 x 47 x 103 x 37,441 = 543,755,643

This can also be written as 31 x 471 x 1031 x 37,4411 = 543,755,643

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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